Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
282 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 67 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#14556063 | C2 | semidirect |
| 3. #17985998 | C2 | semidirect |
| 4. C2×#14556048 | C2 | semidirect |
| 5. C2×#14556044 | C2 | semidirect |
| 6. #17985967 | C2 | semidirect |
| 7. #343×C71 | C2 | semidirect |
| 117. C71 | #2051 | semidirect |
| 124. #343 | D71 | semidirect |